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Finding the Fourth Proportional to 3,454, 5,180.86 and 988.72

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Solution

The fourth proportional to 3,454, 5,180.86 and 988.72 is: 1,483.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454 : 5,180.86 = 988.72 : x
  2. Step 2: Convert to fraction form
    3,454/5,180.86 = 988.72/x
  3. Step 3: Cross multiply
    3,454x = 5,180.86 × 988.72
  4. Step 4: Simplify right side
    3,454x = 5,122,419.90
  5. Step 5: Solve for x
    x = 5,122,419.90/3,454
  6. Step 6: Final answer
    x = 1,483.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.